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Question-10381

Question Number 10381 by ridwan balatif last updated on 06/Feb/17 Commented by ridwan balatif last updated on 06/Feb/17 $$\mathrm{is}\:\mathrm{there}\:\mathrm{any}\:\mathrm{simple}\:\mathrm{solution}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{question}? \\ $$ Answered by mrW1 last…

Let-P-be-the-point-a-2-t-2-1-t-2-a-t-1-t-Find-the-locus-of-P-as-t-varies-

Question Number 141446 by ZiYangLee last updated on 19/May/21 $$\mathrm{Let}\:\mathrm{P}\:\mathrm{be}\:\mathrm{the}\:\mathrm{point}\:\left(\frac{{a}}{\mathrm{2}}\left({t}^{\mathrm{2}} +\frac{\mathrm{1}}{{t}^{\mathrm{2}} }\right),{a}\left({t}−\frac{\mathrm{1}}{{t}}\right)\right) \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{locus}\:\mathrm{of}\:\mathrm{P},\:\mathrm{as}\:{t}\:\mathrm{varies}. \\ $$ Answered by 1549442205PVT last updated on 19/May/21 $$\mathrm{Let}\:\mathrm{P}\:\mathrm{be}\:\mathrm{the}\:\mathrm{point}\:\left(\frac{{a}}{\mathrm{2}}\left({t}^{\mathrm{2}} +\frac{\mathrm{1}}{{t}^{\mathrm{2}}…

Question-75851

Question Number 75851 by aliesam last updated on 18/Dec/19 Answered by MJS last updated on 18/Dec/19 $$\mathrm{10}\frac{\mathrm{8}+\mathrm{6i}}{\mathrm{3}−\mathrm{i}}=\mathrm{18}+\mathrm{26i}=\left(\mathrm{3}+\mathrm{i}\right)^{\mathrm{3}} \\ $$$$\left({x}+{y}\mathrm{i}\right)^{\mathrm{3}} ={x}^{\mathrm{3}} −\mathrm{3}{xy}^{\mathrm{2}} +\left(\mathrm{3}{x}^{\mathrm{2}} {y}−{y}^{\mathrm{3}} \right)\mathrm{i} \\…